A162682 - cp's OEIS frontend

A162682 If S is countable finite set, we can define n as number of elements in S. There are n^n distinct functions f(S)->S. Each function has a fixed point, or an orbit in S. This sequence is a number of distinct functions g(S)->S, with largest orbit.

n	a(n)
0	1
1	1
2	1
3	2
4	6
5	20
6	840
7	420
8	2688
9	18144
10	120960
11	15966720
12	7983360
13	1349187840
14	1037836800
15	12454041600
16	149448499200
17	1693749657600
18	579262382899200
19	289631191449600
20	115852476579840000
21	26822744640147456000
22	4750241170964889600000
23	30776210403434496000

[1, 1, 1, 2, 6, 20, 840, 420, 2688, 18144, 120960, 15966720, 7983360, 1349187840, 1037836800, 12454041600, 149448499200, 1693749657600, 579262382899200, 289631191449600, 115852476579840000, 26822744640147456000, 4750241170964889600000, 30776210403434496000]

cp's OEIS Frontend

A162682 If S is countable finite set, we can define n as number of elements in S. There are n^n distinct functions f(S)->S. Each function has a fixed point, or an orbit in S. This sequence is a number of distinct functions g(S)->S, with largest orbit.

Table of values

List of values